Authors: SUNIL DUTT PUROHIT, FARUK UÇAR
Abstract: The aim of this paper is to give an alternative solution for the $q$-kinetic equation involving the Riemann--Liouville fractional $q$-integral operator. The solution is obtained in terms of the $q$-Mittag--Leffler functions using inverse $q$-Sumudu transform. As applications, some corollaries are presented to illustrate the main results.
Keywords: Riemann--Liouville fractional $q$-integrals, $q$-kinetic equation, $q$-Sumudu transforms
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